Publications/Preprints

The following is a list of selected publications and preprints by members and affiliates of the topology group (ordered alphabetically by surname).  Full publication lists are available on individuals webpages.

Diarmuid Crowley

• D. Crowley, Cs. Nagy, The smooth classification of 4-dimensional complete intersections. To appear in Geom. Topol.. arXiv:2003.09216
• D. Crowley, T. Schick, W. Steimle, The derivative map for diffeomorphisms of discs: An example, Geom. Topol. 27 (2023), 3699–3713. arXiv20.12.13634
• A. Conway, D. Crowley, M. Powell, Infinite homotopy stable class for 4-manifolds with boundary, Pacific J. Math. 325 (2023), 209–237. arXiv:2210.00927
• D. Crowley, J. Bowden, Contact open books with flexible pages, Bull. Lond. Math. Soc. 55 (2023), 1302–1313. arXiv:2106.06253
• D. Crowley, J. Nordström, Exotic G₂-manifolds, Math. Ann. 381 (2021), 29–74.  arXiv:1411.0656
• D. Crowley, J. Nordström, The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3, J. Topol. 13 (2020), 539–575. arXiv:1505.04184

Thorsten Hertl

• T. Hertl, Moduli spaces of positive curvature metrics in dimension four and beyond. arXiv:2310.14115
• T. Hertl, Line bundle twists for unitary bordisms are ghosts. arXiv:2202.09919

Paul Norbury

• P. Norbury. A new cohomology class on the moduli space of curves. Geom. Top. 27 (2023), 2695-2761.
• A. Giacchetto, D. Lewanski, P. Norbury. An intersection-theoretic proof of the Harer-Zagier formula. Algebraic Geometry 10 (2023), 130-147.
• W. Chaimanowong, M. Swaddle, M. Tavakol, P. Norbury. Airy structures and deformations of curves in surfaces. J. London Math. Soc. 109 (2023).
• M. Kazarian, P. Norbury. Polynomial relations among kappa classes on the moduli space of curves. To appear in IMRN. 
• P. Norbury. A family of finite measures on the moduli space of curves and super volumes. arXiv:2312.14558
• L. Anagnostou, S. Mullane, P. Norbury. Weil-Petersson volumes, stability conditions and wall-crossing. arXiv:2310.13281
• P. Norbury. Enumerative geometry via the moduli space of super Riemann surfaces. arXiv:2005.04378

Marcy Robertson

• P. Hackney, M. Robertson, D. Yau. Modular operads and the nerve theorem. Advances in Mathematics, 370, 107206 (39pp) (2020). arXiv:1906.01143
• P. Hackney, M. Robertson, D. Yau. A graphical category for higher modular operads. Advances in Mathematics, 365, 107044 (61pp) (2020). arXiv:1906.01144
• P. Boavida de Brito, G. Horel, M. Robertson. Operads of genus zero curves and the Grothendieck-Teichmüller group. Geometry & Topology, 23, 299-346 (2019). arXiv:1612.04660
• P. Hackney, M. Robertson, D. Yau. Infinity Properads and Infinity Wheeled Properads. Springer Lecture Notes in Mathematics, 358 pp, 2015. arXiv:1410.6716

TriThang Tran

•  A. Kupers, J. Miller, T. Tran. Homological stability for symmetric complements. Trans. AMS, 368, (2015), 7745-7762. arXiv:1410.5497

Nora Ganter

• N. Ganter. Categorical Tori, SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), Paper No. 014, 18 pp. arXiv:1406.7046
• N, Ganter. Inner products of 2-representations. Adv. Math. 285 (2015), 301–351. arXiv:1110.1711
• N. Ganter. The elliptic Weyl character formula. Compos. Math. 150 (2014), no. 7, 1196–1234. arXiv:1206.0528
• N. Ganter. Hecke operators in equivarian elliptic cohomology and generalized Moonshine. Groups and symmetries, 173–209, CRM Proc. Lecture Notes, 47, Amer. Math. Soc., Providence, RI, 2009. arXiv:0706.2898
• N, Ganter. Orbifold Genera, Product formulas and Power Operations. Adv. Math. 205 (2006), no. 1, 84–133. arXiv:math/0407021

Christian Haesemeyer

• C. Haesemeyer, C. A. Weibel, The norm residue theorem in motivic cohomology. Annals of Mathematics Studies, 200. Princeton University Press, Princeton, NJ, 2019. xiii+299 pp.
• G, Cortiñas, C. Haesemeyer, M. E. Walker, C. A. Weibel. The K-theory of toric schemes over regular rings of mixed characteristic. Singularities, algebraic geometry, commutative algebra and related topics, 455-479, Springer, Cham (2018). arXiv:1703.07881
• G. Cortiñas, C. Haesemeyer, M. E Walker, C.A Weibel. Bass’ NK groups and cdh-fibrant Hochschild homology. Invent. Math. 181 (2010), no. 2, 421–448.  arXiv:0802.1928

Yaping Yang

• M. Rapčák, Y. Soibelman, Y. Yang, G. Zhao,  Cohomological Hall algebras, vertex algebras and instantons, Commun. Math. Phys. 376, (2020), 1803–1873. arXiv:1810.10402
• Y. Yang, G. Zhao, The cohomological Hall algebras of a preprojective algebra with symmetrizer, Algebr. Represent. Theory 26 (2023), 1067–1085.  arXiv:1911.02689
• Ivan Mirković, Y. Yang, Gufang Zhao, Loop Grassmannians of quivers and affine quantum groups A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg, Springer 2022.  arXiv:1810.10095.

Gufang Zhao

• M. Rapčák, Y. Soibelman, Y. Yang, G. Zhao, Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds. To appear in Commun. Number Theory Phys.  arXiv:2007.13365
• G. Zhao and C. Zhong, Elliptic affine Hecke algebras and their representations.  Adv. Math. 395 (2022) 108077. arXiv:1507.01245.
• C. Su, G. Zhao, C. Zhong, Wall-crossings and a categorification of K-theory stable bases of the Springer resolution, Compo. Math. 157 (2021), 2341-2376. arXiv:1904.03769
• M. Levine, Y. Yang, G. Zhao, Algebraic elliptic cohomology theory and flops 2: $SL$-cobordism. Adv. Math. 384 (2021) 107726. arXiv:1610.00396